947983872 has 160 divisors (see below), whose sum is σ = 2901064320. Its totient is φ = 272056320.

The previous prime is 947983849. The next prime is 947983873. The reversal of 947983872 is 278389749.

It is a super-2 number, since 2×947983872² = 1797346843144224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947983873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319548 + ... + 322500.

It is an arithmetic number, because the mean of its divisors is an integer number (18131652).

Almost surely, 2^947983872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450532160).

947983872 is an abundant number, since it is smaller than the sum of its proper divisors (1953080448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

947983872 is a wasteful number, since it uses less digits than its factorization.

947983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2988 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 947983872 is about 30789.3467290230. The cubic root of 947983872 is about 982.3516590006.

The spelling of 947983872 in words is "nine hundred forty-seven million, nine hundred eighty-three thousand, eight hundred seventy-two".